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Finding the Fourth Proportional to 1,457.33, 2,011.13 and 794.18

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Solution

The fourth proportional to 1,457.33, 2,011.13 and 794.18 is: 1,095.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,457.33 : 2,011.13 = 794.18 : x
  2. Step 2: Convert to fraction form
    1,457.33/2,011.13 = 794.18/x
  3. Step 3: Cross multiply
    1,457.33x = 2,011.13 × 794.18
  4. Step 4: Simplify right side
    1,457.33x = 1,597,206.24
  5. Step 5: Solve for x
    x = 1,597,206.24/1,457.33
  6. Step 6: Final answer
    x = 1,095.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.